86256768 has 128 divisors (see below), whose sum is σ = 253955520. Its totient is φ = 25767936.

The previous prime is 86256763. The next prime is 86256769. The reversal of 86256768 is 86765268.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (86256763) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 184471 + ... + 184937.

Almost surely, 2^86256768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86256768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126977760).

86256768 is an abundant number, since it is smaller than the sum of its proper divisors (167698752).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

86256768 is a wasteful number, since it uses less digits than its factorization.

86256768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 534 (or 522 counting only the distinct ones).

The product of its digits is 967680, while the sum is 48.

The square root of 86256768 is about 9287.4521802268. The cubic root of 86256768 is about 441.8393524963.

It can be divided in two parts, 862 and 56768, that added together give a triangular number (57630 = T₃₃₉).

The spelling of 86256768 in words is "eighty-six million, two hundred fifty-six thousand, seven hundred sixty-eight".